Time Evolution and Invariance of Boson Systems Given by Beam Splittings

DOI10.1142/S0219025798000284zbMath0917.46067OpenAlexW2147297312MaRDI QIDQ4236704

Wolfgang Freudenberg, Volkmar Liebscher, Karl-Heinz Fichtner

Publication date: 28 March 1999

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025798000284

zbMATH Keywords

boson systemsquasilocal algebrasplitting procedurebeam splittingsinvariant normal statesmeasuring procedures on electromagnetic fields

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Electromagnetic interaction; quantum electrodynamics (81V10) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Applications of functional analysis in quantum physics (46N50)

Related Items (10)

Internal Noise Caused by the Memory ⋮ On entropy of quantum compound systems ⋮ Note on entropies for quantum dynamical systems ⋮ Note on entropies of quantum dynamical systems ⋮ On a Quantum Model of Brain Activities — Distribution of the Outcomes of EEG-Measurements and Random Point Fields ⋮ On Complexity for Open System Dynamics ⋮ Quantum Models of the Recognition Process — On a Convergence Theorem ⋮ Nonindependent splittings and Gibbs states ⋮ Quantum transmission processes and their entropies ⋮ Teleportation schemes in infinite dimensional Hilbert spaces

Cites Work

• Characterization of states of infinite boson systems. I: On the construction of states of boson systems
• Characterization of states of infinite boson systems. II: On the existence of the conditional reduced density matrix
• Cohomology of power sets with applications in quantum probability
• Finitely correlated states on quantum spin chains
• Abundance of translation invariant pure states on quantum spin chains
• Quantum and non-causal stochastic calculus
• An application of lifting theory to optical communiction processes
• Point processes and the position distribution of infinite boson systems
• Generalized Brownian Motion, Point Processes and Stochastic Calculus for Random Fields

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